Average Error: 0.1 → 0.1
Time: 12.0s
Precision: 64
\[\cosh x \cdot \frac{\sin y}{y}\]
↓
\[\cosh x \cdot \frac{\sin y}{y}\]
\cosh x \cdot \frac{\sin y}{y}
↓
\cosh x \cdot \frac{\sin y}{y}
double f(double x, double y) {
        double r453310 = x;
        double r453311 = cosh(r453310);
        double r453312 = y;
        double r453313 = sin(r453312);
        double r453314 = r453313 / r453312;
        double r453315 = r453311 * r453314;
        return r453315;
}
↓
double f(double x, double y) {
        double r453316 = x;
        double r453317 = cosh(r453316);
        double r453318 = y;
        double r453319 = sin(r453318);
        double r453320 = r453319 / r453318;
        double r453321 = r453317 * r453320;
        return r453321;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.1
Target0.1
Herbie0.1
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.1

    \[\cosh x \cdot \frac{\sin y}{y}\]

  2. Final simplification0.1

    \[\leadsto \cosh x \cdot \frac{\sin y}{y}\]

Reproduce

herbie shell --seed 2019208 
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (/ (* (cosh x) (sin y)) y)

  (* (cosh x) (/ (sin y) y)))